Is 87438493 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 87 438 493 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 87 438 493, the only two divisors are 1 and 87 438 493. Therefore 87 438 493 is a prime number.
As a consequence, 87 438 493 is only a multiple of 1 and 87 438 493.
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Since 87438493 is a prime number, 87438493 is also a deficient number, that is to say 87438493 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 87438493 without 87438493 itself (that is 1, by definition!).